# aes128
numcolumns = 4
keywords = 4
numrounds = 10

sbox = (
    0x63, 0x7C, 0x77, 0x7B, 0xF2, 0x6B, 0x6F, 0xC5, 0x30, 0x01, 0x67, 0x2B, 0xFE, 0xD7, 0xAB, 0x76,
    0xCA, 0x82, 0xC9, 0x7D, 0xFA, 0x59, 0x47, 0xF0, 0xAD, 0xD4, 0xA2, 0xAF, 0x9C, 0xA4, 0x72, 0xC0,
    0xB7, 0xFD, 0x93, 0x26, 0x36, 0x3F, 0xF7, 0xCC, 0x34, 0xA5, 0xE5, 0xF1, 0x71, 0xD8, 0x31, 0x15,
    0x04, 0xC7, 0x23, 0xC3, 0x18, 0x96, 0x05, 0x9A, 0x07, 0x12, 0x80, 0xE2, 0xEB, 0x27, 0xB2, 0x75,
    0x09, 0x83, 0x2C, 0x1A, 0x1B, 0x6E, 0x5A, 0xA0, 0x52, 0x3B, 0xD6, 0xB3, 0x29, 0xE3, 0x2F, 0x84,
    0x53, 0xD1, 0x00, 0xED, 0x20, 0xFC, 0xB1, 0x5B, 0x6A, 0xCB, 0xBE, 0x39, 0x4A, 0x4C, 0x58, 0xCF,
    0xD0, 0xEF, 0xAA, 0xFB, 0x43, 0x4D, 0x33, 0x85, 0x45, 0xF9, 0x02, 0x7F, 0x50, 0x3C, 0x9F, 0xA8,
    0x51, 0xA3, 0x40, 0x8F, 0x92, 0x9D, 0x38, 0xF5, 0xBC, 0xB6, 0xDA, 0x21, 0x10, 0xFF, 0xF3, 0xD2,
    0xCD, 0x0C, 0x13, 0xEC, 0x5F, 0x97, 0x44, 0x17, 0xC4, 0xA7, 0x7E, 0x3D, 0x64, 0x5D, 0x19, 0x73,
    0x60, 0x81, 0x4F, 0xDC, 0x22, 0x2A, 0x90, 0x88, 0x46, 0xEE, 0xB8, 0x14, 0xDE, 0x5E, 0x0B, 0xDB,
    0xE0, 0x32, 0x3A, 0x0A, 0x49, 0x06, 0x24, 0x5C, 0xC2, 0xD3, 0xAC, 0x62, 0x91, 0x95, 0xE4, 0x79,
    0xE7, 0xC8, 0x37, 0x6D, 0x8D, 0xD5, 0x4E, 0xA9, 0x6C, 0x56, 0xF4, 0xEA, 0x65, 0x7A, 0xAE, 0x08,
    0xBA, 0x78, 0x25, 0x2E, 0x1C, 0xA6, 0xB4, 0xC6, 0xE8, 0xDD, 0x74, 0x1F, 0x4B, 0xBD, 0x8B, 0x8A,
    0x70, 0x3E, 0xB5, 0x66, 0x48, 0x03, 0xF6, 0x0E, 0x61, 0x35, 0x57, 0xB9, 0x86, 0xC1, 0x1D, 0x9E,
    0xE1, 0xF8, 0x98, 0x11, 0x69, 0xD9, 0x8E, 0x94, 0x9B, 0x1E, 0x87, 0xE9, 0xCE, 0x55, 0x28, 0xDF,
    0x8C, 0xA1, 0x89, 0x0D, 0xBF, 0xE6, 0x42, 0x68, 0x41, 0x99, 0x2D, 0x0F, 0xB0, 0x54, 0xBB, 0x16,
)

inv_sbox = (
    0x52, 0x09, 0x6A, 0xD5, 0x30, 0x36, 0xA5, 0x38, 0xBF, 0x40, 0xA3, 0x9E, 0x81, 0xF3, 0xD7, 0xFB,
    0x7C, 0xE3, 0x39, 0x82, 0x9B, 0x2F, 0xFF, 0x87, 0x34, 0x8E, 0x43, 0x44, 0xC4, 0xDE, 0xE9, 0xCB,
    0x54, 0x7B, 0x94, 0x32, 0xA6, 0xC2, 0x23, 0x3D, 0xEE, 0x4C, 0x95, 0x0B, 0x42, 0xFA, 0xC3, 0x4E,
    0x08, 0x2E, 0xA1, 0x66, 0x28, 0xD9, 0x24, 0xB2, 0x76, 0x5B, 0xA2, 0x49, 0x6D, 0x8B, 0xD1, 0x25,
    0x72, 0xF8, 0xF6, 0x64, 0x86, 0x68, 0x98, 0x16, 0xD4, 0xA4, 0x5C, 0xCC, 0x5D, 0x65, 0xB6, 0x92,
    0x6C, 0x70, 0x48, 0x50, 0xFD, 0xED, 0xB9, 0xDA, 0x5E, 0x15, 0x46, 0x57, 0xA7, 0x8D, 0x9D, 0x84,
    0x90, 0xD8, 0xAB, 0x00, 0x8C, 0xBC, 0xD3, 0x0A, 0xF7, 0xE4, 0x58, 0x05, 0xB8, 0xB3, 0x45, 0x06,
    0xD0, 0x2C, 0x1E, 0x8F, 0xCA, 0x3F, 0x0F, 0x02, 0xC1, 0xAF, 0xBD, 0x03, 0x01, 0x13, 0x8A, 0x6B,
    0x3A, 0x91, 0x11, 0x41, 0x4F, 0x67, 0xDC, 0xEA, 0x97, 0xF2, 0xCF, 0xCE, 0xF0, 0xB4, 0xE6, 0x73,
    0x96, 0xAC, 0x74, 0x22, 0xE7, 0xAD, 0x35, 0x85, 0xE2, 0xF9, 0x37, 0xE8, 0x1C, 0x75, 0xDF, 0x6E,
    0x47, 0xF1, 0x1A, 0x71, 0x1D, 0x29, 0xC5, 0x89, 0x6F, 0xB7, 0x62, 0x0E, 0xAA, 0x18, 0xBE, 0x1B,
    0xFC, 0x56, 0x3E, 0x4B, 0xC6, 0xD2, 0x79, 0x20, 0x9A, 0xDB, 0xC0, 0xFE, 0x78, 0xCD, 0x5A, 0xF4,
    0x1F, 0xDD, 0xA8, 0x33, 0x88, 0x07, 0xC7, 0x31, 0xB1, 0x12, 0x10, 0x59, 0x27, 0x80, 0xEC, 0x5F,
    0x60, 0x51, 0x7F, 0xA9, 0x19, 0xB5, 0x4A, 0x0D, 0x2D, 0xE5, 0x7A, 0x9F, 0x93, 0xC9, 0x9C, 0xEF,
    0xA0, 0xE0, 0x3B, 0x4D, 0xAE, 0x2A, 0xF5, 0xB0, 0xC8, 0xEB, 0xBB, 0x3C, 0x83, 0x53, 0x99, 0x61,
    0x17, 0x2B, 0x04, 0x7E, 0xBA, 0x77, 0xD6, 0x26, 0xE1, 0x69, 0x14, 0x63, 0x55, 0x21, 0x0C, 0x7D,
)

rcon = (0x8D, 0x01, 0x02, 0x04, 0x08, 0x10, 0x20, 0x40, 0x80, 0x1B, 0x36)

def print_matrix(matrix):
    for i in range(len(matrix)):
        for j in range(len(matrix[i])):
            print(f"{matrix[i][j]:02X} ", end="")
        print()
    print()

def rot_word(word):
    new = list(word)
    new[0] = word[1]
    new[1] = word[2]
    new[2] = word[3]
    new[3] = word[0]
    return new

def xor_word(word1, word2):
    return [word1[i] ^ word2[i] for i in range(4)]

def key_schedule(key):
    roundwords = []

    # first round is same as input
    for i in range(keywords):
        roundwords.append([key[(i * 4) + 0], key[(i * 4) + 1], key[(i * 4) + 2], key[(i * 4) + 3]])

    # derive other round keys
    for i in range(keywords, numcolumns * (numrounds + 1)):
        temp = roundwords[-1].copy()

        if i % keywords == 0:
            # schedule core
            temp = rot_word(temp)
            temp = [sbox[b] for b in temp]
            temp[0] ^= rcon[int(i / keywords)]

        roundwords.append(xor_word(temp, roundwords[-keywords]))

    # organize -_-
    roundkeys = []
    for i in range(numrounds + 1):
        roundkey = []
        for word in roundwords[(i * 4):(i * 4) + 4]:
            roundkey.append(word)
        roundkeys.append(roundkey)
    
    return roundkeys

def add_round_key(state, roundkey):
    for i in range(4):
        for j in range(4):
            state[i][j] ^= roundkey[i][j] & 0xFF

def sub_bytes(state):
    for i in range(4):
        for j in range(4):
            state[i][j] = sbox[state[i][j]]

def inv_sub_bytes(state):
    for i in range(4):
        for j in range(4):
            state[i][j] = inv_sbox[state[i][j]]

def shift_rows(state):
    # F2 9D 79 A2
    # AC 62 34 1B
    # 42 CB C8 6B
    # AC 2A CE CE
    # ->
    # F2 62 C8 CE
    # AC CB CE A2
    # 42 2A 79 1B
    # AC 9D 34 6B

    # column 1
    state[0][1], state[1][1], state[2][1], state[3][1] = state[1][1], state[2][1], state[3][1], state[0][1]

    # column 2
    state[0][2], state[1][2], state[2][2], state[3][2] = state[2][2], state[3][2], state[0][2], state[1][2]

    # column 3
    state[0][3], state[1][3], state[2][3], state[3][3] = state[3][3], state[0][3], state[1][3], state[2][3]

def inv_shift_rows(state):
    # column 1
    state[0][1], state[1][1], state[2][1], state[3][1] = state[3][1], state[0][1], state[1][1], state[2][1]

    # column 2
    state[0][2], state[1][2], state[2][2], state[3][2] = state[2][2], state[3][2], state[0][2], state[1][2]

    # column 3
    state[0][3], state[1][3], state[2][3], state[3][3] = state[1][3], state[2][3], state[3][3], state[0][3]

def xtime(x):
    x = x & 0xFF
    return ((x << 1) ^ (((x >> 7) & 1) * 0x1B)) & 0xFF

def mix_column(column):
    t = column[0]
    crossx = column[0] ^ column[1] ^ column[2] ^ column[3]

    tmp = xtime(column[0] ^ column[1])
    column[0] ^= (tmp ^ crossx) & 0xFF

    tmp = xtime(column[1] ^ column[2])
    column[1] ^= (tmp ^ crossx) & 0xFF

    tmp = xtime(column[2] ^ column[3])
    column[2] ^= (tmp ^ crossx) & 0xFF

    tmp = xtime(column[3] ^ t)
    column[3] ^= (tmp ^ crossx) & 0xFF

def mix_columns(state):
    for i in range(4):
        mix_column(state[i])

def inv_mix_column(state):
    def multiply(x, y):
        return ((y & 1) * x) ^ (((y >> 1) & 1) * xtime(x)) ^ (((y >> 2) & 1) * xtime(xtime(x))) ^ (((y >> 3) & 1) * xtime(xtime(xtime(x)))) ^ (((y >> 4) & 1) * xtime(xtime(xtime(xtime(x)))))
    a, b, c, d = state[0], state[1], state[2], state[3]
    state[0] = multiply(a, 0x0E) ^ multiply(b, 0x0B) ^ multiply(c, 0x0D) ^ multiply(d, 0x09)
    state[1] = multiply(a, 0x09) ^ multiply(b, 0x0E) ^ multiply(c, 0x0B) ^ multiply(d, 0x0D)
    state[2] = multiply(a, 0x0D) ^ multiply(b, 0x09) ^ multiply(c, 0x0E) ^ multiply(d, 0x0B)
    state[3] = multiply(a, 0x0B) ^ multiply(b, 0x0D) ^ multiply(c, 0x09) ^ multiply(d, 0x0E)

def inv_mix_columns(state):
    for i in range(4):
        inv_mix_column(state[i])